Answers
In the given diagram ∠AJF or x comes to be 76°.
What are opposite angles?Opposite Angles are angles directly opposite to each other when two lines intersect in a plane.
We know that ∠JIH+∠JID=180°
107° +∠JID=180°
∠JID=180°-107°
∠JID=73°
∠JDI=31°(given))
In triangle JDI,
∠JDI+∠JID+∠IJD=180°
31° + 73° + ∠IJD =180°
∠IJD =76°
We know that ∠IJD and angle x° are opposite angles.
So, x=76°
Therefore, In the given diagram ∠AJF or x comes to be 76°.
To get more about angles visit:
https://brainly.com/question/25770607
Related Questions
HELP TIMED! WILL MARK BRAINLIEST! What are the domain and range of the piecewise function below? Graph and answer choices are attached.
Answers
Answer:
Its the second choice.
Step-by-step explanation:
x does not have a value of -2 so is not in the domain
The range does not have values greater than 1 and less than or equal to 4.
2b) A farmer is building a pen inside a barn. The pen will be in the shape of a right triangle.
The farmer has 14 feet of barn wall to use for one side of the pen and wants another side of the pen to be 15 feet long.
a. To the nearest tenth of a foot, find all possible lengths for the third side of the triangle.
b. The farmer wants the area of the pen to be as large as possible. What length should he choose for the third side? Justify your answer.
Answers
Answer:
For the pen to be as large as possible, the length the farmer should choose for the third side should be 20.52 feet
Step-by-step explanation:
The length of one side of the right triangle = 14 feet
The length of the other side = 15 feet
Therefore, the length of the third side can be one of the following side lengths;
[tex]S_{3,1} = \sqrt{14^2 + 15^2} = \sqrt{421} = 20.52 \ feet[/tex]
[tex]S_{3,2} = \sqrt{15^2 - 14^2} = \sqrt{29} = 5.39 \ feet[/tex]
The possible lengths of the third side of the triangle are;
Third side = 20.52 feet and
Third side = 5.39 feet
b. For the area of the pen to be as large as possible, we have;
With third side = 20.52 feet, area of the pen = 0.5 × 15 × 14 = 105 ft²
With third side = 5.39 feet, area of the pen = 0.5 × 5.39 × 14 = 37.7 ft²
Therefore, for the pen to be as large as possible, the farmer should choose 20.52 feet as he third side.
Answer:
a. c ≈ 20.5 ft (first possibility)
b ≈ 5.4 ft(other possibility)
b. The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.
Step-by-step explanation:
The pen the farmer wants to build is a right angle triangle. one side of the triangle is 14 ft while another side is 15 ft.
A right angle triangle has opposite side, adjacent side and an hypotenuse which is the longest side.
a. To the nearest tenth of a foot, find all possible lengths for the third side of the triangle.
Pythagoras theorem can be used to solve any sides of the triangle when given 2 sides.
We are not told which side is the hypotenuse or the adjacent or the opposites side. Therefore , the possible length for the third side can be computed using Pythagoras theorem.
c² = a² + b²
c = hypotenuse
while a and b can be any of opposite or adjacent sides. The first possible length can be when both sides are the legs of the triangle (no hypotenuse)
c² = 14² + 15²
c² = 196 + 225
c² = 421
c= √421
c = 20.5182845287
c ≈ 20.5 ft (first possibility)
The other possibility of the third side is when the hypotenuse is Known and one other side(either adjacent or opposite). We can use only 15 since it should be the longest side.
c² = a² + b²
c² - a² = b²
15² - 14² = b²
225 - 196 = b²
b² = 29
b = √29
b = 5.38516480713
b ≈ 5.4 ft(other possibility)
b. The farmer wants the area of the pen to be as large as possible. What length should he choose for the third side? Justify your answer.
The two scenarios are as follows
First area
area = 1/2 × base × height
area = 1/2 × 14 × 15 = 210/2 = 105 ft²
Second area
area = 1/2 × base × height
area = 1/2 × 5.4 × 14 = 75.6/2 = 37.8 ft²
The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.
Please help will mark brainliest
Answers
Answer:
-1/5
Step-by-step explanation:
PLEASE HELP. Will give brainliest to whomever answers first.
Answers
Answer:
2π/3 I believe !
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST!!!!!
Answers
Answer:
the answer is => c = 5
...
electricity has two different rates off peak is 10pm to 6am and charged at 8p per hour. peak is 6am to 10pm and is charged at 12p per hour. alison turns uses electricity from 8pm to 11:30 pm. what is the dost of her electricity for that period
Answers
Answer:
32p
Step-by-step explanation:
Times between 8pm and 11.30 are:
8pm,9pm,10pm,11pm,11.30pm
Costs for associated times:
8pm: 12p
9pm: 12p
10pm : 12p
11pm: 8p
11.30 pm: 4p
Total/sum = 32p
Answer:
32P
Step-by-step explanation:
Part 2:
1. Make sure your answers and work is SHOWN please and steps are in order.
2. List all possible rational roots.
3. Use synthetic division to test possible rational roots
4. Identify complex roots, if possible.
5. Sketch a graph of the function, please show:
a. the end behavior correctly
b. the shape of the near x-intercepts
c. (if possible) anything you can learn by considering symmetry and transformations
2a. p(x)= x^4 + 4x^3 + 13x^2 + 36x + 36
Answers
Answer:
2. ±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, ±36
3. see below for synthetic division
4. complex roots: ±3i
5. see the second attachment for a graph (has no symmetry)
Step-by-step explanation:
2. The Rational Root Theorem tells you possible rational roots are the form of ...
±(divisor of constant term) / (divisor of leading coefficient)
Here, we're lucky in that the leading coefficient is 1. The constant is 36, and its divisors are 1, 2, 3, 4, 6, 9, 12, 18, 36. Possible rational roots, according to the Rational Root Theorem are ...
±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, ±36
__
3. When actually searching for possible roots, it is useful to narrow down this list of 18 candidates. We can do this using Descarte's Rule of Signs and a couple of other simple tests. The rule of signs has us look at the signs of the coefficients. They are ...
+ + + + +
There are no sign changes, hence no positive real roots. This means we're looking at negative roots only.
We know that p(0) = 36, the constant term. We can evaluate p(-1) simply, by reversing the signs of the odd-degree coefficients and adding them up:
1 -4 +13 -36 +36 = 10
So p(0) = 36 and p(-1) = 10. The average rate of change is -26, so we expect p(-2) to be zero or less. That value (-2) may be a good first choice for a possible root.
The synthetic division for the root -2 is shown in the first attachment. It shows a remainder of 0, so -2 is a root. The polynomial with the corresponding factor divided out is ...
q(x) = x^3 +2x^2 +9x +18
__
We can apply the above steps to this polynomial. It will have no positive real roots. The value of q(0) is 18, and the value of q(-1) is -1 +2 -9 +18 = 10. The average rate of change between these points is (18 -10)/(0 -(-1)) = 8, so we expect the function to be zero or negative between x=-2 and x=-3.
Further, we observe that the ratio of the first two coefficients is 1 : 2, the same as the 9 : 18 ratio of the last two coefficients. This suggests we can factor this polynomial by "grouping."
q(x) = (x^3 +2x^2) +(9x +18) = x^2(x +2) +9(x +2) = (x^2 +9)(x +2)
So, without doing any more synthetic division, we have found a second root at x = -2. This means -2 is a double root.
Our factorization so far is ...
p(x) = (x +2)^2(x^2 +9)
__
4. The remaining polynomial factor (x^2 +9) has only complex roots:
x^2 +9 = 0
x^2 = -9
x = ±√(-9)
x = ±3i . . . . the complex roots
__
5. The graph is shown in the second attachment, along with the graph of the final quadratic factor.
The leading coefficient is positive and p(x) is of even degree, so it will have a general U shape, going to +∞ for large positive and negative values of x.
Since x = -2 is a double root, the graph touches the x-axis there, but does not cross it.
The graph of p(x) shows no symmetry.
______
Comment on the graph
With modern graphing calculator software it is entirely feasible to start by graphing the polynomial, then reading the (rational) roots from the graph. The same calculator can effectively divide out those roots. If the result is a quadratic, its vertex form equation can be read from the graph, making it easy to find any additional real or complex roots.
This graph shows ...
p(x) = (x +2)^2·q(x)
q(x) = x^2 +9
If 14x = 6(–4 + x), then x = ?
Answers
Answer:
Step-by-step explanation:
Expand first
-24+6x=14x
-6x on both sides
-24=8x
/x on both sides
X=-3
Answer: [tex]x=-3[/tex]
Step-by-step explanation:
You want to apply the distributive property. Or, you could just divide by 6 on both sides. Ill just apply the distributive property:
[tex]14x = -24 +6x[/tex]
Now subtract 6x from both sides to get:
[tex]8x = -24[/tex]
Divide both sides by 8 to get x = -3
Please answer fast its for khan academy
Answers
The second situation is for equation 1
The third situation is for equation 3
f(x) = = -x + 9
g(x) = x2 - 6x + 9
What is the value of g(f(0))
Answers
=========================================================
Explanation:
f(x) = -x+9
f(0) = -0+9 .... replace x with 0
f(0) = 9
We will replace f(0) with 9 in the g(x) function. In other words, we plug in x = 9 into the g(x) function
This is because g( f(0) ) = g( 9 )
g(x) = x^2 - 6x + 9
g(9) = 9^2 - 6*9 + 9 ... replace x with 9
g(9) = 81 - 54 + 9
g(9) = 36
Therefore, g(f(0)) = g(9) = 36 or simply g(f(0)) = 36
-----------------------
Another method is to compute g(f(x)) algebraically first
g(x) = x^2 - 6x + 9
g(f(x)) = ( f(x) )^2 - 6*( f(x) ) + 9 .... replace every x with f(x)
g(f(x)) = ( -x+9 )^2 - 6*( -x+9 ) + 9 .... replace f(x) with -x+9
g(f(x)) = x^2 - 18x + 81 + 6x - 54 + 9
g(f(x)) = x^2 - 12x + 36
then we plug in x = 0
g(f(x)) = x^2 - 12x + 36
g(f(0)) = 0^2 - 12*0 + 36 ... replace x with 0
g(f(0)) = 36
Help which expression is equivalent to this one? cuhhhhh.....!!
Answers
Answer:
3^ 6
Step-by-step explanation:
3^-2 * 3^8
We know that a^b * a^c = a^(b+c)
3^(-2+8)
3^ 6
Answer: [tex]3^{6}[/tex]
Step-by-step explanation: Since these two powers have the same base of 3, we can multiply them together by adding their exponents.
So [tex]3^{-2}[/tex] [tex]x[/tex] [tex]3^{8}[/tex] is [tex]3^{6}[/tex].
This idea is called the product rule.
Which of the following is the factored form of the quadratic *
4x^2+7x-15=0
1.(4x + 5)(x + 3)
2.(4x -5)(x + 3)
3.(4x - 5)(x - 3)
Answers
Answer:
2.
Step-by-step explanation:
(4x-5)(x+3)
=4x^2+12x-5x-15
=4x^2+7x-15
i think of a number, add 3 to it and multiply the result by 7.
Answers
Answer:
[tex]7(x + 3)[/tex]
Step-by-step explanation
thinked number = x
add 3 = +3
[tex]x + 3[/tex]
multiply the result by 7
[tex]7( x+ 3)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
On one day, the stock of Seraj Food Technologies went up by 30%. The next day, the stock fell by 30% Over the two days, the stock fell overall by "x" percent. What is "x"?
Answers
Answer:
x = 9
Step-by-step explanation:
The first day, the value was multiplied by 1+30% = 1.30.
The second day, the value was multiplied by 1-30% = 0.70.
Over the 2-day period, the value was multiplied by 1+x%:
1 -x/100 = (1.30)(0.70) = 0.91
x/100 = 1 -0.91
x = 9
The stock fell by 9% overall.
pleassseee help me solve 4b+11=39
Answers
Answer:
b = 7
Step-by-step explanation:
4b + 11 = 39
Subtract 11 to both sides
4b = 39-11
4b = 28
Dividing both sides by 4
b = 7
What is the domain of the function y = l n (StartFraction negative x + 3 Over 2 EndFraction)
x less-than 2
x greater-than 2
x less-than 3
x greater-than 3
Answers
Answer:
Option (3). x < 3
Step-by-step explanation:
Given function is a logarithmic function,
[tex]y=\text{ln}[\frac{(-x+3)}{2}][/tex]
We know that logarithm is defined for all positive real numbers except zero.
[tex]\frac{(-x+3)}{2}>0[/tex]
(-x + 3) > 0
-x > -3
x < 3
That means the given logarithmic function is defined for all real values lees than 3.
And the domain of the function will be x < 3
Option (3) will be the answer.
Answer:
x < 3 Option C on E2020.
Step-by-step explanation:
If f(x) = 1 - X, which value is equivalent to [f(I)]?
О0
0 1
O v2
Ov-1
Answers
Answer:
0
Step-by-step explanation:
Here, given the function f(x), we want to calculate f(1)
Mathematically, this means we shall substitute 1 for the value of x in that function.
Thus, given F(x) = 1-x
Then F(1) would be = 1-1 = 0
Need help fast
(X-5)^2+11=20
Answers
Answer:
X= 8, 2
Step-by-step explanation:
So, to solve answers like these you have to have to take the root of both sides and then solve. Please let me know if you have any questions or if I did not answer it correctly or misunderstood the question so that I can help correct my mistakes. Hope this helps!!
Answer:
Answer: (x-2) • (x-8)
(X-5)^2+11=20
Step by Step explanation:
1. 1 • 16 = 16
2. Find two factors of 16 which will be -10
-16 + -1 = -17
-8 + -2 = -10
3. x2 - 8x - 2x - 16
4. x • (x-8)
2 • (x-8)
5. (x-2) • (x-8)
(((( Yo Welcome)))
I need help on this can someone help me thank you it’s geometry:)
Answers
=========================================================
How to get this answer:
The largest angle ABD is 90 degrees because of the small little angle square marker. Another clue is the notation [tex]BA \perp BD[/tex]. The upside down T symbol means "perpendicular", showing the lines BA and BD form a 90 degree angle. The pieces of the angle (ABC = 4x and CBD = 5x) must add up to 90 degrees, or else they wouldn't fit like a jigsaw puzzle.
--------
(angle ABC) + (angle CBD) = angle ABD
4x + 5x = 90
9x = 90 ... combining like terms
9x/9 = 90/9 ... dividing both sides by 9
x = 10
-------
If x = 10, then 4x = 4*10 = 40, which is the measure of angle ABC
If x = 10, then 5x = 5*10 = 50 is the measure of angle CBD
We see that ABC+CBD = 40+50 = 90
PLEASE HELP IM STRUGGLING here is a rectangle all the measurements are in centimeters
The perimeter of the rectangle is 39cm
Work out the area of the rectangle
Answers
Answer:
Area of the rectangle = 95 cm²
Step-by-step explanation:
Perimeter of the rectangle = Sum of the measures of the sides of the rectangle
From the figure attached,
Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]
39 = 2(5x + 2)
39 = 10x + 4
10x = 39 - 4
10x = 35
x = 3.5
Therefore, measure of the given sides will be,
Length = (3x - 1) cm
3x - 1 = (3×3.5) - 1
= 10.5 - 1
= 9.5 cm
Width = (2x + 3) cm
2x + 3 = (2×3.5) + 3
= 7 + 3
= 10 cm
Area of the rectangle = Length × width
= 9.5 × 10
= 95 cm²
Therefore, area of the rectangle is 95 cm².
Will give brainliest once again Does this graph show a function? Explain how you know
Answers
Answer:
D
Step-by-step explanation:
In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.
Answer:
D
Step-by-step explanation:
parabolas are functions
the graphed is a parabola
it passes the vertical line test.
The radius of the circle is 4 inches. Which of the following units represents the diameter of the circle?
A. Inches
B. Square inches
C. Cubic Inches
D. None of the choices
Answers
Answer:
Inches
Step-by-step explanation:
Answer: The correct answer is inches because radius and Diameter are always given in a single form unit of measure.
Inches units represents the diameter of the circle.
Please mark brainliest
Hope this helps.
What is the length of HG? What is the length of HI?
Answers
Subtract 8 from both sides.
? = 3
HG = 8
? + 6 = 9
Subtract 6 from both sides.
? = 3
HI = 3
Answer:
HI = 3 and HG = 3
Step-by-step explanation:
As you see from the bottom line, the length of the HIJ line = 9. 9 - 6 (6 is the length of the IJ line) = 3, so 3 is the length of the HI line. On the second picture, 11-8=3, so HJ = 3.
Edit: Whoops, i didn't see the second picture.
Abdul drove four trips that totalled 426 km. The second trip was 4 less than double the first. The third trip was double the second and the fourth trip was 18 more than triple the first. How far was each trip? Please help!!!
Answers
Answer:
Let the first trip be x
Second trip is 2x-4
Third trip is 2(2x-4)
Fourth trip is 3x + 18
x + (2x-4) + 2(2x-4)+3x+18 = 426
x + 2x -4 + 4x - 8 + 3x + 18 = 426
10x + 6 = 426
10x = 426-6
x = 420/10 = 42 km
Second trip was
2x-4 = 2(42)-4 = 84-4 = 80 km
Third trip was
2 * 80 = 160 km
Fourth trip was
3(42) + 18 = 144 km
Use the vectors v = 7i + 2j and w = –4i + j to find 10v + 3w
Answers
Answer:
v = 7i + 2j
w= - 4i + j
10v = 10(7i + 2j) = 70i + 20j
3w= 3(- 4i + j) = -12i + 3j
10v + 3w
= 70i -12i + 20j +3j
= 58i + 23j
Hope this helps.
PLZ PLZ PLZ HELP HELP HELPPP 14 Find the area of the semicircle. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.
Answers
Answer:
The area of semi-circle is 2π units²
Step-by-step explanation:
The Side-Side-Side (SSS) similarity theorem states that triangles are similar if the corresponding sides of the triangles are congruent.
True
False
Answers
Answer:
False
Step-by-step explanation:
When triangles are similar, their sides are proportional, not congruent.
I hope this helps :))
On a number line, a segment has endpoints of -2.5 and 4.5. What is the midpoint?
Answers
Answer:
1
Step-by-step explanation:
[tex]Midpoint \\ \\ = \frac{4.5 + ( - 2.5)}{2} \\ \\ = \frac{4.5 - 2.5}{2} \\ \\ = \frac{2}{2} \\ \\ = 1[/tex]
The sum of three numbers is 84 the second number is 3 times the third . The first number is 6 less then the third . What are the numbers
Answers
Answer:
A=12
B=54
C=18
Step-by-step explanation:
A=first
B=second
C=third
A+B+C=84
B=3C
A=C-6
C-6+3C+C=84
5C-6=84
5C=90
C=18
A=C-6
=(18)-6
=12
B=3C
=3(18)
=54
12, 54, and 18 so, what he said is true
Step-by-step explanation: he already gave this to you
I’m a struggling please help :(
Answers
Answer:
It's constant
Step-by-step explanation:
at those points, the graph is going ---------------- so, it is constant.
// have a great day //
